All categories

3 years ago

I need help with #15

Mathematics

1 answer:

gladu [14]3 years ago

8 0

15. MP(5,11) S(3,5) M(x,y)

(3+x)/2 = 5 x=7

(5+y)/2 =-11 y=-27

M(7,-27) is the other point

You might be interested in

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago

Is 10/50 equivalent to 4/20

horrorfan [7]

Yes.

-- Take 10/50.

-- Divide numerator and denominator by 2.5 ,
(Or multiply them by 0.4 .)

-- You now have 4/20 .

5 0

3 years ago

Read 2 more answers

F(x)

Ludmilka [50]

F(x) = 5 + 2x where x is the number of times he walks the neighbours dog
y-intercept is at y=5 and slope = 2

g(x) :- As x increases by 4 g(x) decreases by -8 so the slope is -8/4 = -2
when x = 0, g(x) = the y intercept is at -1 + (-8/2) = - 5
so equation of g(x) is g(x) = -5 -2x
h(x):- the slope is (3 - 5) / (1 - 0) [ difference in y values / diff in x values]
slope = -2
so we have h(x) = -2x + c where c = the y-intercept
when x = 0 h(x) = 5
so c = 5
h(x) = 5 - 2x

Now j(x)= 2x - 5 - slope is 2 and y intercept = -5

8 0

3 years ago

Read 2 more answers

Plz help me answer this one :(

Mariulka [41]

Answer:

is it C?? plss let me know not fully sure

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Mrs. Mathewson would like to serve her guests 3/16 of a quart of coke. If she has 7/8 of a quart of coke how many guests can she